Two-dimensional Ising model with self-dual biaxially correlated disorder

@article{Bagamry2005TwodimensionalIM,
title={Two-dimensional Ising model with self-dual biaxially correlated disorder},
author={Fruzsina Bagam{\'e}ry and Lo{\"i}c Turban and F. Igloi Henri Poincare University and Henri Poincare University and Research Institute for Solid State Physics and Optics and Budape{\vs}ť},
journal={Physical Review B},
year={2005},
volume={72},
pages={094202}
}
• Published 1 April 2005
• Physics
• Physical Review B
We consider the Ising model on the square lattice with biaxially correlated random ferromagnetic couplings, the critical point of which is fixed by self-duality. The disorder, which has a correlator, $G(r)\ensuremath{\sim}{r}^{\ensuremath{-}1}$, represents a relevant perturbation according to the extended Harris criterion. Critical properties of the system are studied by large scale Monte Carlo simulations. The correlation length critical exponent $\ensuremath{\nu}=2.005(5)$ corresponds to that…
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